Quantization using Compressive Sensing

Details Quantization using Compressive Sensing Quantization using Compressive Sensing

2010-11-05

arxiv.org/abs/1011.1503v1

Computer Science

Information Theory

10 pages, 1 figure, submitted to DCC 2011

Scientific paper

The problem of compressing a real-valued sparse source using compressive sensing techniques is studied. The rate distortion optimality of a coding scheme in which compressively sensed signals are quantized and then reconstructed is established when the reconstruction is also required to be sparse. The result holds in general when the distortion constraint is on the expected $p$-norm of error between the source and the reconstruction. A new restricted isometry like property is introduced for this purpose and the existence of matrices that satisfy this property is shown.

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